# Criterion

Pronunciation: /kraɪˈtɪər.iən/ Explain

A criterion is a necessary requirement for a theorem to be true. When a standard is given to show what members are included in a set, the standard is called a criterion. The plural of criterion is criteria.

#### Example:

If only high school students can participate in a math contest, the criterion for participating in the math contest is being a high school student.

#### Understanding Check

For each of the statements below identify the criterion. The click on the answer you picked.
• If x < 0 then y > 0.
A. x < 0 B. y > 0
• When your room is cleaned up, you can go to the mall.
A. Your room is cleaned up. B. You can go to the mall.
• We will stay inside if it is raining.
A. We will stay inside. B. It is raining.
• If the shirt fits and we can afford it, we will buy the shirt.
A. The shirt fits. B. We can afford the shirt. C. We will buy the shirt.

### References

1. McAdams, David E.. All Math Words Dictionary, criterion. 2nd Classroom edition 20150108-4799968. pg 50. Life is a Story Problem LLC. January 8, 2015. Buy the book

• McAdams, David E.. condition. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/27/2018. https://www.allmathwords.org/en/c/condition.html.

McAdams, David E. Criterion. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/c/criterion.html.

### Revision History

4/16/2019: Updated equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)

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